Theorems · Theorem · group theory
RootableBy.root_cancel
∀ {A : Type u_1} {α : Type u_2} {inst : Monoid A} {inst_1 : Pow A α} {inst_2 : Zero α} [self : RootableBy A α] {n : α}
(a : A), n ≠ 0 → RootableBy.root a n ^ n = a- Defined in
- Mathlib.GroupTheory.Divisible
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- RootableBy
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- RootableBystatement and proof · cited by 6
- RootableBy.rootstatement · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- RootableBy.surjective_powproof · cited by 2